4x^2+11x+3=

Simple and best practice solution for 4x^2+11x+3= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4x^2+11x+3= equation:


Simplifying
4x2 + 11x + 3 = 0

Reorder the terms:
3 + 11x + 4x2 = 0

Solving
3 + 11x + 4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
0.75 + 2.75x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 2.75x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 2.75x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 2.75x + x2 = 0 + -0.75
2.75x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
2.75x + x2 = -0.75

The x term is 2.75x.  Take half its coefficient (1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
2.75x + 1.890625 + x2 = -0.75 + 1.890625

Reorder the terms:
1.890625 + 2.75x + x2 = -0.75 + 1.890625

Combine like terms: -0.75 + 1.890625 = 1.140625
1.890625 + 2.75x + x2 = 1.140625

Factor a perfect square on the left side:
(x + 1.375)(x + 1.375) = 1.140625

Calculate the square root of the right side: 1.068000468

Break this problem into two subproblems by setting 
(x + 1.375) equal to 1.068000468 and -1.068000468.

Subproblem 1

x + 1.375 = 1.068000468 Simplifying x + 1.375 = 1.068000468 Reorder the terms: 1.375 + x = 1.068000468 Solving 1.375 + x = 1.068000468 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.375' to each side of the equation. 1.375 + -1.375 + x = 1.068000468 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + x = 1.068000468 + -1.375 x = 1.068000468 + -1.375 Combine like terms: 1.068000468 + -1.375 = -0.306999532 x = -0.306999532 Simplifying x = -0.306999532

Subproblem 2

x + 1.375 = -1.068000468 Simplifying x + 1.375 = -1.068000468 Reorder the terms: 1.375 + x = -1.068000468 Solving 1.375 + x = -1.068000468 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.375' to each side of the equation. 1.375 + -1.375 + x = -1.068000468 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + x = -1.068000468 + -1.375 x = -1.068000468 + -1.375 Combine like terms: -1.068000468 + -1.375 = -2.443000468 x = -2.443000468 Simplifying x = -2.443000468

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.306999532, -2.443000468}

See similar equations:

| w^2+14w-31=0 | | y-(-50)=6(x-5) | | 10p-3=3(p+2)+7(p+4) | | 4(t-1)+5(t+4)=3t+46 | | 9x^3+18x^2-72r=0 | | (x/2)=4+((x-35)/5) | | 12x=4(x-5) | | (1/2)m-(1/2)=(1/6)m+(1/2) | | X^4+7=12 | | 4x+3x-4=0 | | 88=-4(5x+3) | | 9+x=2(5-2x)-(1-5x) | | -2(3x-1)-4=10 | | 8-7z+2z=20+5 | | 6(x+7)-2=6x | | 9x^3+18x^2-72=0 | | y=6x-80 | | 20c^2+13c-15=0 | | -9(-6-2x)-12=4(x+7) | | -1/8(n-4)=1/2(n-3) | | X-(-1)=(-7) | | 26t^2=3t | | (x+5)^2/3=4 | | (-6+2y)-24=8 | | c=150+2 | | 1.7+6.9=6.1u-5.1u+.9 | | -7(x+5)-41=1-14 | | C^3=3c^3+9 | | 9+4x-15/6 | | 7(8x-2)=-14+3x | | 18+6(2-3)=5z+2 | | x/-3=-4-(-7) |

Equations solver categories